Mark runs a stall selling handmade cards and bookmarks.

Each handmade card costs $20.00.
Each bookmark costs $2.50.

Mark wants his total sales to reach a minimum of $90.00 through the sale of at least one handmade card and several bookmarks. What inequality represents the various quantities of bookmarks (x) Mark must sell?

A. x ≥ 70
B. x ≥ 36
C. x ≥ 16
D. x ≥ 28

1 answer

To find the minimum quantity of bookmarks Mark must sell, we can set up an inequality using the given information.

Let's assume Mark sells x bookmarks.

The total sales from the handmade cards would be $20.00.

The total sales from the bookmarks would be $2.50 multiplied by the quantity of bookmarks sold, which is 2.5x.

Mark wants his total sales to reach a minimum of $90.00, so we can set up the inequality:
$20.00 + $2.50x ≥ $90.00

Simplifying the inequality, we have:
$2.50x ≥ $70.00

Dividing both sides of the inequality by $2.50, we get:
x ≥ 70/2.50

x ≥ 28

So the inequality that represents the minimum quantity of bookmarks Mark must sell is x ≥ 28.

Therefore, the correct answer is option D. x ≥ 28.